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3x=1-6y
Subtract 6y from both sides.
\frac{3x}{3}=\frac{1-6y}{3}
Divide both sides by 3.
x=\frac{1-6y}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{1}{3}-2y
Divide 1-6y by 3.
6y=1-3x
Subtract 3x from both sides.
\frac{6y}{6}=\frac{1-3x}{6}
Divide both sides by 6.
y=\frac{1-3x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{2}+\frac{1}{6}
Divide 1-3x by 6.